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Near-threshold states in coupled $DD^{\ast}-D^{\ast}D^{\ast}$ scattering from lattice QCD

Title: Near-threshold states in coupled $DD^{\ast}-D^{\ast}D^{\ast}$ scattering from lattice QCD
Authors: Whyte, Travis; Wilson, David J; Thomas, Christopher E
Publisher Information: American Physical Society (APS); Department of Applied Mathematics and Theoretical Physics; //doi.org/10.1103/physrevd.111.034511
Publication Year: 2025
Collection: Apollo - University of Cambridge Repository
Subject Terms: 5106 Nuclear and Plasma Physics; 5107 Particle and High Energy Physics; 4902 Mathematical Physics; 49 Mathematical Sciences; 51 Physical Sciences
Description: The first determination of doubly-charmed isospin-0 coupled-channel $DD^\ast-D^\ast D^\ast$ scattering amplitudes from lattice QCD is presented. The finite-volume spectrum is computed for three lattice volumes with a light-quark mass corresponding to $m_π\approx 391$ MeV and is used to extract the scattering amplitudes in $J^P = 1^+$ via the Lüscher quantization condition. By analytically continuing the scattering amplitudes to complex energies, a $T_{cc}$ pole corresponding to a virtual bound state is found below $DD^\ast$ threshold. We also find a second pole, $T_{cc}^\prime$, corresponding to a resonance pole below the kinematically closed $D^\ast D^\ast$ channel, to which it has a strong coupling. A non-zero coupling is robustly found between the $S$-wave $D D^\ast$ and $D^\ast D^\ast$ channels producing a clear cusp in the $D D^\ast$ amplitude at the $D^\ast D^\ast$ threshold energy. This suggests that the experimental $T_{cc}^\prime$ should be observable in $D D^\ast$ and $D^\ast D^\ast$ final states at ongoing experiments. ; The Royal Society
Document Type: article in journal/newspaper
File Description: application/pdf
Language: English
Relation: https://www.repository.cam.ac.uk/handle/1810/381885
Availability: https://www.repository.cam.ac.uk/handle/1810/381885
Rights: Attribution 4.0 International ; https://creativecommons.org/licenses/by/4.0/
Accession Number: edsbas.E555BAF2
Database: BASE